The midpoint of the segment as an ordered pair (-4,8) (-4,2)

Mathematics

1 answer:

tiny-mole [99]2 years ago

6 0

Answer:

Step-by-step explanation:

(-4,8) & ( -4,2)

$Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-4-4}{2},\dfrac{8+2}{2}\right)\\\\\\=\left(\dfrac{-8}{2},\dfrac{10}{2} \right)$

= (-4,5)

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Use the function f(x) = 4x2 − 7x − 15 to answer the questions. Part A: Completely factor f(x). (2 points) Part B: What are the x

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Answer:

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Part B: The x-intercepts are x = 3 and -1.25 #

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: The graph is a u-shaped quadratic equation graph passing though the x-intercept points -1.25 and 3 on the x-axis and the y-intercept point -15 on the y-axis. Both sides of the symmetrical graph curve extending to infinity

Step-by-step explanation:

The function 4·x² - 7·x-15

To factorize the expression, we have at the 0 factors;

$x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$

Where;

a = 4, b = -7, c -15, substituting gives;

$x = \dfrac{-(-7)\pm \sqrt{(-7)^{2}-4\times 4\times (-15)}}{2\times 4} = \dfrac{7\pm 17}{8} = 3 \ or -1.25$

Which gives;

(x - 3)·(x + 1.25) = (x - 3)·(4·x + 5)

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Part B: The x-intercepts are the point where y = 0, which are x = 3 and -1.25 as shown above

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: With the the nature of the function as y approaches ∞ and -∞ the graph is a u-shaped graph of a quadratic equation passing though the points -1.25 and 3 on the x-axis and the point -15 on the y-axis.

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frutty [35]

Answer:

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Step-by-step explanation:

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